Errors occur after quantum computing and optimization, making it a significant problem to achieve quantum advantage. I developed and analyzed an error detection and correction scheme for the graph implementation of the Rydberg atom array.  

Dynamic optical tweezers not only transport atoms but also implement quantum operations. Combined with a chromatically distinguishable dual-species atomic array, I developed a MAQCY scheme, a Modular Atom-array Quantum Computation with space-time hYbrid multiplexing. 

Optical tweezers "trap" a single neutral atom, meaning they apply a localized force to the atom. As a result, the atom exhibits both classical and quantum dynamics within the tweezer. I analyzed both types of dynamics and, by properly designing the time-dependent force trajectory, developed controlled paths for targeted atomic motion, including throw-and-catch operations and time-optimal transport. 

 Many graph optimization problems can be embedded into finding the ground state of a quantum Ising spin glass. A Rydberg atom array can implement such a quantum Ising spin glass, which has led to interest in it as a feasible platform for quantum optimization. However, due to the distance-dependent nature of the Rydberg interaction, arrays of atoms are limited to implementing only a narrow class of problem instances. By using a quantum wire, an auxiliary atom array that enables all-to-all connectivity, I developed its application for solving optimization problems of non-unit disk graphs (non-UDGs), weighted graphs, and hypergraphs.